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History of Inequality Computation > Answer
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Work: Find the solution of equation (24.2-x)/x*100% = 1.7% .
Question type: Equation
Solution:Original question:| | ( | 121 5 | − | x | ) | ÷ | x | × | 100 100 | = | 17 1000 |
| Multiply both sides of the equation by: | x |
| | ( | 121 5 | − | x | ) | × | 100 100 | = | 17 1000 | x |
Remove a bracket on the left of the equation::
| | 121 5 | × | 100 100 | − | x | × | 100 100 | = | 17 1000 | x |
The equation is reduced to :
| | 121 5 | − | x | × | 100 100 | = | 17 1000 | x |
Transposition :
| | - | 100 100 | x | − | 17 1000 | x | = | - | 121 5 |
Combine the items on the left of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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